Answer:
u + v = <7 , 1>
║u + v║ ≅ 7
Explanation:
* Lets explain how to solve the problem
- We can add two vector by adding their parts
∵ The vector u is <-4 , 7>
∵ The vector v is <11, -6>
∴ The sum of u and v = <-4 , 7> + <11 , -6>
∴ u + v = <-4 + 11 , 7 + -6> = <7 , 1>
∴ The sum u and v is <7 , 1>
* u + v = <7 , 1>
- The magnitude of the resultant vector = √(x² + y²)
∵ x = 7 and y = 1
∵ ║u + v║ means the magnitude of the sum
∴ The magnitude of the resultant vector = √(7² + 1²)
∴ The magnitude of the resultant vector = √(49 + 1) = √50
∴ The magnitude of the resultant vector = √50 = 7.071
* ║u + v║ ≅ 7